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305434409 = 7297320611
BaseRepresentation
bin10010001101001…
…000111100101001
3210021201200020112
4102031020330221
51111142400114
650150304105
710366102220
oct2215107451
9707650215
10305434409
11147456435
1286358035
134b381527
142c7c9cb7
151bc3413e
hex12348f29

305434409 has 16 divisors (see below), whose sum is σ = 366069120. Its totient is φ = 249298560.

The previous prime is 305434399. The next prime is 305434417. The reversal of 305434409 is 904434503.

It is a de Polignac number, because none of the positive numbers 2k-305434409 is a prime.

It is a super-3 number, since 3×3054344093 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305434429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4514 + ... + 25124.

It is an arithmetic number, because the mean of its divisors is an integer number (22879320).

Almost surely, 2305434409 is an apocalyptic number.

It is an amenable number.

305434409 is a deficient number, since it is larger than the sum of its proper divisors (60634711).

305434409 is a wasteful number, since it uses less digits than its factorization.

305434409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20720.

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 305434409 is about 17476.6818647019. The cubic root of 305434409 is about 673.4509767050.

The spelling of 305434409 in words is "three hundred five million, four hundred thirty-four thousand, four hundred nine".

Divisors: 1 7 29 73 203 511 2117 14819 20611 144277 597719 1504603 4184033 10532221 43633487 305434409